E6Tensors: A Mathematica package for E6 Tensors

We present the Mathematica package E6Tensors, a tool for explicit tensor calculations in E6 gauge theories. In addition to matrix expressions for the group generators of E6, it provides structure constants, various higher rank tensors and expressions for the representations 27, 78, 351 and 351′. Thi...

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Bibliographic Details
Published inComputer physics communications Vol. 213; pp. 130 - 135
Main Author Deppisch, Thomas
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2017
Subjects
Casimir operator
formula omitted
Gauge group
Invariant
Matrix generators
Structure constants
Matrix generators
E6
Invariant
Structure constants
Gauge group
Casimir operator
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Summary:We present the Mathematica package E6Tensors, a tool for explicit tensor calculations in E6 gauge theories. In addition to matrix expressions for the group generators of E6, it provides structure constants, various higher rank tensors and expressions for the representations 27, 78, 351 and 351′. This paper comes along with a short manual including physically relevant examples. I further give a complete list of gauge invariant, renormalisable terms for superpotentials and Lagrangians. Program Title:E6Tensors Program Files doi:http://dx.doi.org/10.17632/tk3xtvsd7b.1 Licensing provisions: GNU GPLv3 Programming language:Wolfram Mathematica 8-10 Nature of problem: Group theoretic calculations for E6 GUT Models. Solution method: Direct calculation via explicit expressions.
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2016.09.010